{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Prometheus - Western Engineering Rocketry Team 2022\n",
    "\n",
    "Launched at Spaceport America Cup 2022 edition.  \n",
    "Western Engineering Rocketry Team is a rocket design team from Western University in London, Ontario (Canada).\n",
    "Permission to use flight data given by Giorgio Chassikos, 2024.\n",
    "\n",
    "Website: [https://www.werocketry.com/](https://www.werocketry.com/)\n",
    "\n",
    "## Team Information:\n",
    "The Western Engineering Rocketry Team is a student-led engineering design team founded in 2016 at Western University in London, Ontario.  \n",
    "Comprised of engineering students from a variety of disciplines, the team's goal is to develop and launch rockets through the Intercollegiate Rocket Engineering Competition.\n",
    "\n",
    "## Flight Card Results:\n",
    "1. **Launch Date:** June 24th, 2022, 9:17am local time\n",
    "2. **Last Simulated Apogee:** 4190.05 m\n",
    "3. **Official Recorded Apogee:** 3898.37 m\n",
    "\n",
    "If we calculate the simulation error and divide it by the actual apogee, we get a relative error of 7.48%.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "from rocketpy import Environment, Flight, Function, GenericMotor, Rocket\n",
    "from rocketpy.simulation.flight_data_importer import FlightDataImporter\n",
    "\n",
    "plt.style.use(\"seaborn-v0_8-colorblind\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define the Environment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "env = Environment(\n",
    "    latitude=32.939377,\n",
    "    longitude=-106.911986,\n",
    "    elevation=1401,\n",
    ")\n",
    "env.set_date(date=(2023, 6, 24, 9), timezone=\"America/Denver\")\n",
    "\n",
    "env.set_atmospheric_model(\n",
    "    type=\"Reanalysis\",\n",
    "    file=\"../../data/weather/spaceport_america_pressure_levels_2023_hourly.nc\",\n",
    "    dictionary=\"ECMWF\",\n",
    ")\n",
    "\n",
    "env.max_expected_height = 6000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Gravity Details\n",
      "\n",
      "Acceleration of gravity at surface level:    9.7913 m/s²\n",
      "Acceleration of gravity at   6.000 km (ASL): 9.7771 m/s²\n",
      "\n",
      "\n",
      "Launch Site Details\n",
      "\n",
      "Launch Date: 2023-06-24 15:00:00 UTC | 2023-06-24 09:00:00 America/Denver\n",
      "Launch Site Latitude: 32.93938°\n",
      "Launch Site Longitude: -106.91199°\n",
      "Reference Datum: SIRGAS2000\n",
      "Launch Site UTM coordinates: 321254.52 W    3646188.36 N\n",
      "Launch Site UTM zone: 13S\n",
      "Launch Site Surface Elevation: 1401.0 m\n",
      "\n",
      "\n",
      "Atmospheric Model Details\n",
      "\n",
      "Atmospheric Model Type: Reanalysis\n",
      "Reanalysis Maximum Height: 6.000 km\n",
      "Reanalysis Time Period: from 2023-06-19 00:00:00 to 2023-06-24 23:00:00 utc\n",
      "Reanalysis Hour Interval: 1 hrs\n",
      "Reanalysis Latitude Range: From 36.75° to 29.0°\n",
      "Reanalysis Longitude Range: From -108.87999725341797° to -105.12999725341797°\n",
      "\n",
      "Surface Atmospheric Conditions\n",
      "\n",
      "Surface Wind Speed: 0.20 m/s\n",
      "Surface Wind Direction: 304.58°\n",
      "Surface Wind Heading: 124.58°\n",
      "Surface Pressure: 861.95 hPa\n",
      "Surface Temperature: 299.96 K\n",
      "Surface Air Density: 1.001 kg/m³\n",
      "Surface Speed of Sound: 347.20 m/s\n",
      "\n",
      "\n",
      "Earth Model Details\n",
      "\n",
      "Earth Radius at Launch site: 6371.85 km\n",
      "Semi-major Axis: 6378.14 km\n",
      "Semi-minor Axis: 6356.75 km\n",
      "Flattening: 0.0034\n",
      "\n",
      "\n",
      "Atmospheric Model Plots\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x450 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "env.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define the motor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Motor Details\n",
      "Total Burning Time: 4.897 s\n",
      "Total Propellant Mass: 3.737 kg\n",
      "Structural Mass Ratio: 0.444\n",
      "Average Propellant Exhaust Velocity: 2028.119 m/s\n",
      "Average Thrust: 1547.699 N\n",
      "Maximum Thrust: 1827.113 N at 1.652 s after ignition.\n",
      "Total Impulse: 7579.081 Ns\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "motor_M1520 = GenericMotor(\n",
    "    # burn specs: https://www.thrustcurve.org/simfiles/5f4294d20002e900000006b1/\n",
    "    thrust_source=\"../../data/motors/cesaroni/Cesaroni_7579M1520-P.eng\",\n",
    "    burn_time=4.897,\n",
    "    propellant_initial_mass=3.737,\n",
    "    dry_mass=2.981,\n",
    "    # casing specs: Pro98 3G Gen2 casing\n",
    "    chamber_radius=0.064,\n",
    "    chamber_height=0.548,\n",
    "    chamber_position=0.274,\n",
    "    nozzle_radius=0.027,\n",
    ")\n",
    "\n",
    "\n",
    "motor_M1520.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define the Rocket"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def prometheus_cd_at_ma(mach):\n",
    "    \"\"\"Gives the drag coefficient of the rocket at a given mach number.\"\"\"\n",
    "    if mach <= 0.15:\n",
    "        return 0.422\n",
    "    elif mach <= 0.45:\n",
    "        return 0.422 + (mach - 0.15) * (0.38 - 0.422) / (0.45 - 0.15)\n",
    "    elif mach <= 0.77:\n",
    "        return 0.38 + (mach - 0.45) * (0.32 - 0.38) / (0.77 - 0.45)\n",
    "    elif mach <= 0.82:\n",
    "        return 0.32 + (mach - 0.77) * (0.3 - 0.32) / (0.82 - 0.77)\n",
    "    elif mach <= 0.88:\n",
    "        return 0.3 + (mach - 0.82) * (0.3 - 0.3) / (0.88 - 0.82)\n",
    "    elif mach <= 0.94:\n",
    "        return 0.3 + (mach - 0.88) * (0.32 - 0.3) / (0.94 - 0.88)\n",
    "    elif mach <= 0.99:\n",
    "        return 0.32 + (mach - 0.94) * (0.37 - 0.32) / (0.99 - 0.94)\n",
    "    elif mach <= 1.04:\n",
    "        return 0.37 + (mach - 0.99) * (0.44 - 0.37) / (1.04 - 0.99)\n",
    "    elif mach <= 1.24:\n",
    "        return 0.44 + (mach - 1.04) * (0.43 - 0.44) / (1.24 - 1.04)\n",
    "    elif mach <= 1.33:\n",
    "        return 0.43 + (mach - 1.24) * (0.42 - 0.43) / (1.33 - 1.24)\n",
    "    elif mach <= 1.49:\n",
    "        return 0.42 + (mach - 1.33) * (0.39 - 0.42) / (1.49 - 1.33)\n",
    "    else:\n",
    "        return 0.39\n",
    "\n",
    "\n",
    "prometheus = Rocket(\n",
    "    radius=0.06985,  # 5.5\" diameter circle\n",
    "    mass=13.93,\n",
    "    inertia=(\n",
    "        4.87,\n",
    "        4.87,\n",
    "        0.05,\n",
    "    ),\n",
    "    power_off_drag=prometheus_cd_at_ma,\n",
    "    power_on_drag=lambda x: prometheus_cd_at_ma(x) * 1.02,  # 5% increase in drag\n",
    "    center_of_mass_without_motor=0.9549,\n",
    "    coordinate_system_orientation=\"tail_to_nose\",\n",
    ")\n",
    "\n",
    "prometheus.set_rail_buttons(0.69, 0.21, 60)\n",
    "\n",
    "prometheus.add_motor(motor=motor_M1520, position=0)\n",
    "nose_cone = prometheus.add_nose(length=0.742, kind=\"Von Karman\", position=2.229)\n",
    "fin_set = prometheus.add_trapezoidal_fins(\n",
    "    n=3,\n",
    "    span=0.13,\n",
    "    root_chord=0.268,\n",
    "    tip_chord=0.136,\n",
    "    position=0.273,\n",
    "    sweep_length=0.066,\n",
    ")\n",
    "drogue = prometheus.add_parachute(\n",
    "    \"Drogue\",\n",
    "    cd_s=1.6 * np.pi * 0.3048**2,  # Cd = 1.6, D_chute = 24 in\n",
    "    trigger=\"apogee\",\n",
    ")\n",
    "main = prometheus.add_parachute(\n",
    "    \"Main\",\n",
    "    cd_s=2.2 * np.pi * 0.9144**2,  # Cd = 2.2, D_chute = 72 in\n",
    "    trigger=457.2,  # 1500 ft\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Inertia Details\n",
      "\n",
      "Rocket Mass: 13.930 kg (without motor)\n",
      "Rocket Dry Mass: 16.911 kg (with unloaded motor)\n",
      "Rocket Loaded Mass: 20.648 kg\n",
      "Rocket Structural Mass Ratio: 0.819\n",
      "Rocket Inertia (with unloaded motor) 11: 6.008 kg*m2\n",
      "Rocket Inertia (with unloaded motor) 22: 6.008 kg*m2\n",
      "Rocket Inertia (with unloaded motor) 33: 0.050 kg*m2\n",
      "Rocket Inertia (with unloaded motor) 12: 0.000 kg*m2\n",
      "Rocket Inertia (with unloaded motor) 13: 0.000 kg*m2\n",
      "Rocket Inertia (with unloaded motor) 23: 0.000 kg*m2\n",
      "\n",
      "Geometrical Parameters\n",
      "\n",
      "Rocket Maximum Radius: 0.06985 m\n",
      "Rocket Frontal Area: 0.015328 m2\n",
      "\n",
      "Rocket Distances\n",
      "Rocket Center of Dry Mass - Center of Mass without Motor: 0.120 m\n",
      "Rocket Center of Dry Mass - Nozzle Exit: 0.835 m\n",
      "Rocket Center of Dry Mass - Center of Propellant Mass: 0.561 m\n",
      "Rocket Center of Mass - Rocket Loaded Center of Mass: 0.102 m\n",
      "\n",
      "\n",
      "Aerodynamics Lift Coefficient Derivatives\n",
      "\n",
      "Nose Cone Lift Coefficient Derivative: 2.000/rad\n",
      "Fins Lift Coefficient Derivative: 6.406/rad\n",
      "\n",
      "Center of Pressure\n",
      "\n",
      "Nose Cone Center of Pressure position: 1.858 m\n",
      "Fins Center of Pressure position: 0.191 m\n",
      "\n",
      "Stability\n",
      "\n",
      "Center of Mass position (time=0): 0.733 m\n",
      "Center of Pressure position (time=0): 0.588 m\n",
      "Initial Static Margin (mach=0, time=0): 1.042 c\n",
      "Final Static Margin (mach=0, time=burn_out): 1.768 c\n",
      "Rocket Center of Mass (time=0) - Center of Pressure (mach=0): 0.146 m\n",
      "\n",
      "\n",
      "Parachute Details\n",
      "\n",
      "Parachute Drogue with a cd_s of 0.4670 m2\n",
      "Ejection signal trigger: At Apogee\n",
      "Ejection system refresh rate: 100.000 Hz\n",
      "Time between ejection signal is triggered and the parachute is fully opened: 0.0 s\n",
      "\n",
      "\n",
      "Parachute Details\n",
      "\n",
      "Parachute Main with a cd_s of 5.7789 m2\n",
      "Ejection signal trigger: 457.2 m (AGL)\n",
      "Ejection system refresh rate: 100.000 Hz\n",
      "Time between ejection signal is triggered and the parachute is fully opened: 0.0 s\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "prometheus.info()\n",
    "prometheus.draw()\n",
    "prometheus.plots.drag_curves()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simulate the Flight"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "test_flight = Flight(\n",
    "    rocket=prometheus,\n",
    "    environment=env,\n",
    "    inclination=80,\n",
    "    heading=75,\n",
    "    rail_length=5.18,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Rail Departure State\n",
      "\n",
      "Rail Departure Time: 0.385 s\n",
      "Rail Departure Velocity: 25.256 m/s\n",
      "Rail Departure Stability Margin: 1.090 c\n",
      "Rail Departure Angle of Attack: 0.455°\n",
      "Rail Departure Thrust-Weight Ratio: 8.326\n",
      "Rail Departure Reynolds Number: 1.911e+05\n",
      "\n",
      "Burn out State\n",
      "\n",
      "Burn out time: 4.897 s\n",
      "Altitude at burn out: 2271.603 m (ASL) | 870.603 m (AGL)\n",
      "Rocket speed at burn out: 328.212 m/s\n",
      "Freestream velocity at burn out: 326.880 m/s\n",
      "Mach Number at burn out: 0.950\n",
      "Kinetic energy at burn out: 9.109e+05 J\n",
      "\n",
      "Apogee State\n",
      "\n",
      "Apogee Time: 29.107 s\n",
      "Apogee Altitude: 5589.810 m (ASL) | 4188.810 m (AGL)\n",
      "Apogee Freestream Speed: 36.164 m/s\n",
      "Apogee X position: 1530.378 m\n",
      "Apogee Y position: 430.742 m\n",
      "Apogee latitude: 32.9432492°\n",
      "Apogee longitude: -106.8955882°\n",
      "\n",
      "Stability Margin\n",
      "\n",
      "Initial Stability Margin: 1.042 c at 0.00 s\n",
      "Out of Rail Stability Margin: 1.090 c at 0.38 s\n",
      "Maximum Stability Margin: 1.886 c at 4.90 s\n",
      "Minimum Stability Margin: 1.042 c at 0.00 s\n",
      "\n",
      "Maximum Values\n",
      "\n",
      "Maximum Speed: 330.260 m/s at 4.73 s\n",
      "Maximum Mach Number: 0.956 Mach at 4.73 s\n",
      "Maximum Reynolds Number: 2.339e+06 at 4.66 s\n",
      "Maximum Dynamic Pressure: 5.021e+04 Pa at 4.68 s\n",
      "Maximum Acceleration During Motor Burn: 82.865 m/s² at 1.65 s\n",
      "Maximum Gs During Motor Burn: 8.450 g at 1.65 s\n",
      "Maximum Acceleration After Motor Burn: 11.474 m/s² at 18.34 s\n",
      "Maximum Gs After Motor Burn: 1.170 Gs at 18.34 s\n",
      "Maximum Stability Margin: 1.886 c at 4.90 s\n",
      "Maximum Upper Rail Button Normal Force: 0.035 N\n",
      "Maximum Upper Rail Button Shear Force: 0.157 N\n",
      "Maximum Lower Rail Button Normal Force: 0.036 N\n",
      "Maximum Lower Rail Button Shear Force: 0.162 N\n"
     ]
    }
   ],
   "source": [
    "# test_flight.prints.initial_conditions()\n",
    "# test_flight.prints.surface_wind_conditions()\n",
    "# test_flight.prints.launch_rail_conditions()\n",
    "test_flight.prints.out_of_rail_conditions()\n",
    "test_flight.prints.burn_out_conditions()\n",
    "test_flight.prints.apogee_conditions()\n",
    "# test_flight.prints.events_registered()\n",
    "# test_flight.prints.impact_conditions()\n",
    "test_flight.prints.stability_margin()\n",
    "test_flight.prints.maximum_values()\n",
    "# test_flight.prints.numerical_integration_settings()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Read the Telemetry Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The following attributes were create and are now available to be used:  ['time', 'z', 'altitude', 'acceleration', 'pressure', 'latitude', 'longitude']\n"
     ]
    }
   ],
   "source": [
    "columns_map = {\n",
    "    \"time\": \"time\",\n",
    "    \"altitude\": \"z\",\n",
    "    \"height\": \"altitude\",\n",
    "    \"acceleration\": \"acceleration\",\n",
    "    \"pressure\": \"pressure\",\n",
    "    \"accel_x\": \"ax\",\n",
    "    \"accel_y\": \"ay\",\n",
    "    \"accel_z\": \"az\",\n",
    "    \"latitude\": \"latitude\",\n",
    "    \"longitude\": \"longitude\",\n",
    "}\n",
    "\n",
    "\n",
    "cots_altimeter_flight = FlightDataImporter(\n",
    "    name=\"Telemetry Mega\",\n",
    "    paths=\"../../data/rockets/prometheus/2022-06-24-serial-5115-flight-0001-TeleMetrum.csv\",\n",
    "    columns_map=columns_map,\n",
    "    units=None,\n",
    "    interpolation=\"linear\",\n",
    "    extrapolation=\"zero\",\n",
    "    delimiter=\",\",\n",
    "    encoding=\"utf-8\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compare Simulation and Telemetry Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RocketPy apogee: 4188.81 m\n",
      "Real apogee: 3903.77 m\n",
      "Absolute error: 285.04 m\n",
      "Relative error: 7.30%\n"
     ]
    }
   ],
   "source": [
    "real_apogee = cots_altimeter_flight.altitude.max\n",
    "rocketpy_apogee = test_flight.apogee - test_flight.env.elevation\n",
    "a_error = abs(real_apogee - rocketpy_apogee)\n",
    "r_error = a_error / real_apogee * 100\n",
    "\n",
    "print(f\"RocketPy apogee: {rocketpy_apogee:.2f} m\")\n",
    "print(f\"Real apogee: {real_apogee:.2f} m\")\n",
    "print(f\"Absolute error: {a_error:.2f} m\")\n",
    "print(f\"Relative error: {r_error:.2f}%\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Altitude comparison\n",
    "Function.compare_plots(\n",
    "    [\n",
    "        (test_flight.altitude, \"RocketPy\"),\n",
    "        (cots_altimeter_flight.altitude, \"Telemetry\"),\n",
    "    ],\n",
    "    title=\"Altitude Comparison\",\n",
    "    xlabel=\"Time (s)\",\n",
    "    ylabel=\"Altitude (m)\",\n",
    "    lower=0,\n",
    "    # upper=30,\n",
    ")\n",
    "\n",
    "# Pressure comparison\n",
    "Function.compare_plots(\n",
    "    [\n",
    "        (test_flight.pressure, \"RocketPy\"),\n",
    "        (cots_altimeter_flight.pressure, \"Telemetry\"),\n",
    "    ],\n",
    "    title=\"Pressure Comparison\",\n",
    "    xlabel=\"Time (s)\",\n",
    "    ylabel=\"Pressure (Pa)\",\n",
    "    lower=0,\n",
    "    # upper=30,\n",
    ")\n",
    "\n",
    "# Latitude comparison\n",
    "# Function.compare_plots(\n",
    "#     [\n",
    "#         (test_flight.latitude, \"RocketPy\"),\n",
    "#         (cots_altimeter_flight.latitude, \"Telemetry\"),\n",
    "#     ],\n",
    "#     title=\"Latitude Comparison\",\n",
    "#     xlabel=\"Time (s)\",\n",
    "#     ylabel=\"Latitude (deg)\",\n",
    "#     lower=0,\n",
    "#     # upper=30,\n",
    "# )\n",
    "\n",
    "# Longitude comparison\n",
    "# Function.compare_plots(\n",
    "#     [\n",
    "#         (test_flight.longitude, \"RocketPy\"),\n",
    "#         (cots_altimeter_flight.longitude, \"Telemetry\"),\n",
    "#     ],\n",
    "#     title=\"Longitude Comparison\",\n",
    "#     xlabel=\"Time (s)\",\n",
    "#     ylabel=\"Longitude (deg)\",\n",
    "#     lower=0,\n",
    "#     # upper=30,\n",
    "# )\n",
    "\n",
    "\n",
    "# Convert \"deceleration\" to \"acceleration\" for comparison\n",
    "def absolute_cots_acceleration(x):\n",
    "    return abs(cots_altimeter_flight.acceleration(x))\n",
    "\n",
    "\n",
    "# Acceleration comparison\n",
    "Function.compare_plots(\n",
    "    [\n",
    "        (test_flight.acceleration, \"RocketPy\"),\n",
    "        (Function(absolute_cots_acceleration), \"Telemetry\"),\n",
    "    ],\n",
    "    title=\"Acceleration Comparison\",\n",
    "    xlabel=\"Time (s)\",\n",
    "    ylabel=\"Acceleration (m/s^2)\",\n",
    "    lower=0,\n",
    "    upper=30,\n",
    ")"
   ]
  }
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